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14648660 = 22513103547
BaseRepresentation
bin110111111000…
…010101010100
31000120020011222
4313320111110
512222224120
61241545512
7235340315
oct67702524
930506158
1014648660
1182a5834
124aa5298
13305b760
141d3460c
151445525
hexdf8554

14648660 has 48 divisors (see below), whose sum is σ = 33511296. Its totient is φ = 5346432.

The previous prime is 14648629. The next prime is 14648663. The reversal of 14648660 is 6684641.

14648660 = T481 + T482 + ... + T583.

It is a self number, because there is not a number n which added to its sum of digits gives 14648660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14648663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26507 + ... + 27053.

It is an arithmetic number, because the mean of its divisors is an integer number (698152).

Almost surely, 214648660 is an apocalyptic number.

14648660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14648660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755648).

14648660 is an abundant number, since it is smaller than the sum of its proper divisors (18862636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14648660 is a wasteful number, since it uses less digits than its factorization.

14648660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 14648660 is about 3827.3567902666. The cubic root of 14648660 is about 244.6804664049.

The spelling of 14648660 in words is "fourteen million, six hundred forty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 103 130 206 260 412 515 547 1030 1094 1339 2060 2188 2678 2735 5356 5470 6695 7111 10940 13390 14222 26780 28444 35555 56341 71110 112682 142220 225364 281705 563410 732433 1126820 1464866 2929732 3662165 7324330 14648660